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220004120100 = 223523137639361
BaseRepresentation
bin1100110011100101000…
…1000111011000100100
3210000212110120021110110
43030321101013120210
512101032023320400
6245022443453020
721615623110602
oct3147121073044
9700773507413
10220004120100
1185337654766
123677ab27170
131799180a22b
14a910b5a872
155ac9755e50
hex3339447624

220004120100 has 144 divisors (see below), whose sum is σ = 674838918656. Its totient is φ = 55240704000.

The previous prime is 220004120099. The next prime is 220004120111. The reversal of 220004120100 is 1021400022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24420 + ... + 663780.

Almost surely, 2220004120100 is an apocalyptic number.

220004120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220004120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337419459328).

220004120100 is an abundant number, since it is smaller than the sum of its proper divisors (454834798556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220004120100 is a wasteful number, since it uses less digits than its factorization.

220004120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639446 (or 639439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220004120100 its reverse (1021400022), we get a palindrome (221025520122).

The spelling of 220004120100 in words is "two hundred twenty billion, four million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 37 50 60 62 74 75 93 100 111 124 148 150 155 185 186 222 300 310 370 372 444 465 555 620 740 775 925 930 1110 1147 1550 1850 1860 2220 2294 2325 2775 3100 3441 3700 4588 4650 5550 5735 6882 9300 11100 11470 13764 17205 22940 28675 34410 57350 68820 86025 114700 172050 344100 639361 1278722 1918083 2557444 3196805 3836166 6393610 7672332 9590415 12787220 15984025 19180830 19820191 23656357 31968050 38361660 39640382 47312714 47952075 59460573 63936100 70969071 79280764 94625428 95904150 99100955 118281785 118921146 141938142 191808300 198201910 236563570 237842292 283876284 297302865 354845355 396403820 473127140 495504775 591408925 594605730 709690710 733347067 991009550 1182817850 1189211460 1419381420 1466694134 1486514325 1774226775 1982019100 2200041201 2365635700 2933388268 2973028650 3548453550 3666735335 4400082402 5946057300 7096907100 7333470670 8800164804 11000206005 14666941340 18333676675 22000412010 36667353350 44000824020 55001030025 73334706700 110002060050 220004120100